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Finding the Fourth Proportional to 3,031.56, 4,537.92 and 1,936.80

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Solution

The fourth proportional to 3,031.56, 4,537.92 and 1,936.80 is: 2,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.56 : 4,537.92 = 1,936.80 : x
  2. Step 2: Convert to fraction form
    3,031.56/4,537.92 = 1,936.80/x
  3. Step 3: Cross multiply
    3,031.56x = 4,537.92 × 1,936.80
  4. Step 4: Simplify right side
    3,031.56x = 8,789,043.46
  5. Step 5: Solve for x
    x = 8,789,043.46/3,031.56
  6. Step 6: Final answer
    x = 2,899.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.